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Finding the Third Proportional to 154,966 and 227,139.25

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Solution

The third proportional to 154,966 and 227,139.25 is: 332,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,966 : 227,139.25 = 227,139.25 : x
  2. Step 2: Convert to fraction form
    154,966/227,139.25 = 227,139.25/x
  3. Step 3: Cross multiply
    154,966x = 227,139.25 × 227,139.25
  4. Step 4: Simplify right side
    154,966x = 51,592,238,890.56
  5. Step 5: Solve for x
    x = 51,592,238,890.56/154,966
  6. Step 6: Final answer
    x = 332,926.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.